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Question (31)

QN009618

The perimeter of a quadrant of radius 14 cm is:

(A) 22 cm
(B) 36 cm
(C) 44 cm
(D) 50 cm

Correct Answer: B

Explanation:

Arc = 22 cm, so total perimeter = 22 + 14 = 36 cm.

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Question (32)

QN009619

A circular running track has radius 70 m. A runner completes 2 laps. Distance covered is:

(A) 220 m
(B) 440 m
(C) 880 m
(D) 1320 m

Correct Answer: C

Explanation:

One lap = 440 m, so 2 laps = 880 m.

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Question (33)

QN009620

The ratio C/D for circles of different sizes is:

(A) Different for each circle
(B) Greater for larger circles
(C) Smaller for smaller circles
(D) Constant

Correct Answer: D

Explanation:

The ratio C/D is always constant and equal to π.

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Question (34)

QN009621

A wire of length 88 cm is bent into a circle. The radius of the circle formed is:

(A) 7 cm
(B) 14 cm
(C) 21 cm
(D) 28 cm

Correct Answer: B

Explanation:

2 × 22/7 × r = 88, so r = 14 cm.

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Question (35)

QN009622

A circular pond has circumference 628 m. Using π = 3.14, its radius is:

(A) 50 m
(B) 100 m
(C) 150 m
(D) 200 m

Correct Answer: B

Explanation:

2 × 3.14 × r = 628, so r = 100 m.

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Question (36)

QN009623

Two semicircular arcs together form:

(A) A sector
(B) A chord
(C) A complete circle
(D) A tangent

Correct Answer: C

Explanation:

Two semicircular arcs together make a full circle.

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Question (37)

QN009624

A circle and a square have the same perimeter of 44 cm. Side of the square is:

(A) 9 cm
(B) 10 cm
(C) 11 cm
(D) 12 cm

Correct Answer: C

Explanation:

Side of square = 44 ÷ 4 = 11 cm.

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Question (38)

QN009625

A sector subtends 180° at the centre. The arc formed is:

(A) Minor arc
(B) Quarter arc
(C) Semicircular arc
(D) Major arc

Correct Answer: C

Explanation:

A 180° sector forms a semicircular arc.

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Question (39)

QN009626

Which of the following is irrational?

(A) 22/7
(B) 3.14
(C) π
(D) 355/113

Correct Answer: C

Explanation:

π is a non-terminating, non-repeating irrational number.

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Question (40)

QN009627

If the radius of a circle is reduced to half, the circumference becomes:

(A) Double
(B) Four times
(C) Half
(D) One-fourth

Correct Answer: C

Explanation:

Circumference is directly proportional to radius.

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Question (31)

The perimeter of a quadrant of radius 14 cm is:

Explanation:

Link:

Question (32)

A circular running track has radius 70 m. A runner completes 2 laps. Distance covered is:

Explanation:

Link:

Question (33)

The ratio C/D for circles of different sizes is:

Explanation:

Link:

Question (34)

A wire of length 88 cm is bent into a circle. The radius of the circle formed is:

Explanation:

Link:

Question (35)

A circular pond has circumference 628 m. Using π = 3.14, its radius is:

Explanation:

Link:

Question (36)

Two semicircular arcs together form:

Explanation:

Link:

Question (37)

A circle and a square have the same perimeter of 44 cm. Side of the square is:

Explanation:

Link:

Question (38)

A sector subtends 180° at the centre. The arc formed is:

Explanation:

Link:

Question (39)

Which of the following is irrational?

Explanation:

Link:

Question (40)

If the radius of a circle is reduced to half, the circumference becomes:

Explanation:

Link:

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